∠ADC = 112°
∠ADC =6x + 7 + 12x - 3
Equate both:
6x + 7 + 12x - 3 = 112
Solve for x :
6x + 7 + 12x - 3 = 112
Combine like terms:
18x + 4= 112
Take away 4 from both sides:
18x = 108
Divide both sides by 18:
x = 6
Find ∠ADB:
6x + 7 = 6(6) + 7 = 43
Answer: ∠ADB = 43°
Answer:
w = -15
Step-by-step explanation:
-5w = 7 - 4w + 8
Grouping like terms together,
-5w+4w = 7+8
-w = 15
w = -15
The velocity of the particle is given by

Since
and
, we get


Similarly, the position function is obtained via

We know
and we're told that
, so


making the answer A.
For this case we have that by definition, the area of a triangle is given by:

Where:
b: It is the base of the triangle
h: It is the height of the triangle
According to the data of the statement we have:

Substituting in the formula we have:

So, the area of the triangle is
Answer:
